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<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="dir_9d8b5820aeddb56054d6182409bbdf51.html">cpp0x</a></li>  </ul>
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<div class="title">geometric_product.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef __GAALET_GEOMETRIC_PRODUCT_H</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define __GAALET_GEOMETRIC_PRODUCT_H</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &quot;utility.h&quot;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacegaalet.html">gaalet</a></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;{</div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span>gp</div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;{</div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">//list of element multiplications with the same result type</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1msl__null.html">   13</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1msl__null.html">msl_null</a></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;{</div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;   <span class="keyword">static</span> <span class="keyword">const</span> conf_t size = 0;</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;   <span class="keyword">template</span>&lt;<span class="keyword">typename</span> element_t, <span class="keyword">class</span> L, <span class="keyword">class</span> R&gt;</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;   <span class="keyword">static</span> element_t product_sum(<span class="keyword">const</span> L&amp;, <span class="keyword">const</span> R&amp;)</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;   {</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keywordflow">return</span> 0.0;</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;   }</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;};</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="keyword">template</span>&lt;conf_t LC, conf_t RC, <span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1multiplication__sum__list.html">   25</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1multiplication__sum__list.html">multiplication_sum_list</a></div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;{</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;   <span class="keyword">static</span> <span class="keyword">const</span> conf_t left = LC;</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;   <span class="keyword">static</span> <span class="keyword">const</span> conf_t right = RC;</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;   <span class="keyword">typedef</span> T tail;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;   <span class="keyword">static</span> <span class="keyword">const</span> conf_t size = T::size + 1;</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;   <span class="keyword">template</span>&lt;<span class="keyword">typename</span> element_t, <span class="keyword">class</span> L, <span class="keyword">class</span> R&gt;</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;   <span class="keyword">static</span> element_t product_sum(<span class="keyword">const</span> L&amp; l, <span class="keyword">const</span> R&amp; r)</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;   {</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structgaalet_1_1metric__combination__traits.html">metric_combination_traits&lt;typename L::metric, typename R::metric&gt;::metric</a> metric;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keywordflow">return</span></div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;         l.template element&lt;left&gt;()*r.template element&lt;right&gt;()</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;         *<a class="code" href="structgaalet_1_1CanonicalReorderingSign.html">CanonicalReorderingSign&lt;left, right&gt;::value</a></div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;         *((<a class="code" href="structgaalet_1_1BitCount.html">BitCount&lt;metric::signature_bitmap&amp;(left&amp;right)&gt;::value</a> % 2) ? -1 : 1)</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;         + tail::template product_sum&lt;element_t&gt;(l, r);</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;   }</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;};</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="keyword">template</span>&lt;conf_t LC, conf_t RC&gt;</div>
<div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1multiplication__sum__list_3_01LC_00_01RC_00_01msl__null_01_4.html">   47</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1multiplication__sum__list.html">multiplication_sum_list</a>&lt;LC, RC, <a class="code" href="structgaalet_1_1gp_1_1msl__null.html">msl_null</a>&gt;</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;{</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;   <span class="keyword">static</span> <span class="keyword">const</span> conf_t left = LC;</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;   <span class="keyword">static</span> <span class="keyword">const</span> conf_t right = RC;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;   <span class="keyword">typedef</span> <a class="code" href="structgaalet_1_1gp_1_1msl__null.html">msl_null</a> <a class="code" href="structgaalet_1_1gp_1_1msl__null.html">tail</a>;</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;   <span class="keyword">static</span> <span class="keyword">const</span> conf_t size = 1;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;   <span class="keyword">template</span>&lt;<span class="keyword">typename</span> element_t, <span class="keyword">class</span> L, <span class="keyword">class</span> R&gt;</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;   <span class="keyword">static</span> element_t product_sum(<span class="keyword">const</span> L&amp; l, <span class="keyword">const</span> R&amp; r)</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;   {</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structgaalet_1_1metric__combination__traits.html">metric_combination_traits&lt;typename L::metric, typename R::metric&gt;::metric</a> metric;</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keywordflow">return</span></div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;         l.template element&lt;left&gt;()*r.template element&lt;right&gt;()</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;         *<a class="code" href="structgaalet_1_1CanonicalReorderingSign.html">CanonicalReorderingSign&lt;left, right&gt;::value</a></div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;         *((<a class="code" href="structgaalet_1_1BitCount.html">BitCount&lt;metric::signature_bitmap&amp;(left&amp;right)&gt;::value</a> % 2) ? -1 : 1);</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;   }</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;};</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="comment">//list of multiplication_sum_list, with respect to result type</span></div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;<span class="keyword">template</span>&lt;conf_t C, <span class="keyword">typename</span> H, <span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1multiplication__element__list.html">   70</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1multiplication__element__list.html">multiplication_element_list</a></div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;{</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;   <span class="keyword">static</span> <span class="keyword">const</span> conf_t conf = C;</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;   <span class="keyword">typedef</span> H head;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;   <span class="keyword">typedef</span> T tail;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;   <span class="keyword">typedef</span> <a class="code" href="structgaalet_1_1configuration__list.html">configuration_list&lt;conf, typename T::clist&gt;</a> <a class="code" href="structgaalet_1_1configuration__list.html">clist</a>;</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;   <span class="keyword">static</span> <span class="keyword">const</span> conf_t size = T::size + 1;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;   <span class="keyword">template</span>&lt;<span class="keyword">typename</span> element_t, <span class="keyword">class</span> L, <span class="keyword">class</span> R&gt;</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;   <span class="keyword">static</span> element_t product_sum(<span class="keyword">const</span> L&amp; l, <span class="keyword">const</span> R&amp; r)</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;   {</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keywordflow">return</span> head::template product_sum&lt;element_t&gt;(l, r);</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;   }</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;};</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
<div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1mel__null.html">   87</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1mel__null.html">mel_null</a></div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;{</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;   <span class="keyword">static</span> <span class="keyword">const</span> conf_t conf = 0;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;   <span class="keyword">typedef</span> <a class="code" href="structgaalet_1_1cl__null.html">cl_null</a> <a class="code" href="structgaalet_1_1cl__null.html">clist</a>;</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;   <span class="keyword">static</span> <span class="keyword">const</span> conf_t size = 0;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;   <span class="keyword">template</span>&lt;<span class="keyword">typename</span> element_t, <span class="keyword">class</span> L, <span class="keyword">class</span> R&gt;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;   <span class="keyword">static</span> element_t product_sum(<span class="keyword">const</span> L&amp;, <span class="keyword">const</span> R&amp;)</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;   {</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keywordflow">return</span> 0.0;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;   }</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;};</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;<span class="keyword">template</span>&lt;conf_t LC, conf_t RC, <span class="keyword">typename</span> list, <span class="keywordtype">int</span> op = ((LC^RC)==list::conf) ? 0 : (((LC^RC)&lt;list::conf) ? 1 : -1)&gt;</div>
<div class="line"><a name="l00108"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1insert__element__to__melist.html">  108</a></span>&#160;<span class="keyword">struct</span> <a class="code" href="structgaalet_1_1gp_1_1insert__element__to__melist.html">insert_element_to_melist</a></div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;{</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;   <span class="keyword">typedef</span> <a class="code" href="structgaalet_1_1gp_1_1multiplication__element__list.html">multiplication_element_list&lt;list::conf, typename list::head, typename insert_element_to_melist&lt;LC, RC, typename list::tail&gt;::melist</a>&gt; <a class="code" href="structgaalet_1_1gp_1_1multiplication__element__list.html">melist</a>;</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;};</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;<span class="keyword">template</span>&lt;conf_t LC, conf_t RC, <span class="keywordtype">int</span> op&gt;</div>
<div class="line"><a name="l00114"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1insert__element__to__melist_3_01LC_00_01RC_00_01mel__null_00_01op_01_4.html">  114</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1insert__element__to__melist.html">insert_element_to_melist</a>&lt;LC, RC, <a class="code" href="structgaalet_1_1gp_1_1mel__null.html">mel_null</a>, op&gt;</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;{</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;   <span class="keyword">typedef</span> <a class="code" href="structgaalet_1_1gp_1_1multiplication__element__list.html">multiplication_element_list&lt;LC^RC, multiplication_sum_list&lt;LC, RC, msl_null&gt;</a>, <a class="code" href="structgaalet_1_1gp_1_1mel__null.html">mel_null</a>&gt; <a class="code" href="structgaalet_1_1gp_1_1multiplication__element__list.html">melist</a>;</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;};</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;<span class="keyword">template</span>&lt;conf_t LC, conf_t RC&gt;</div>
<div class="line"><a name="l00119"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1insert__element__to__melist_3_01LC_00_01RC_00_01mel__null_00_010_01_4.html">  119</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1insert__element__to__melist.html">insert_element_to_melist</a>&lt;LC, RC, <a class="code" href="structgaalet_1_1gp_1_1mel__null.html">mel_null</a>, 0&gt;</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;{</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;   <span class="keyword">typedef</span> <a class="code" href="structgaalet_1_1gp_1_1multiplication__element__list.html">multiplication_element_list&lt;LC^RC, multiplication_sum_list&lt;LC, RC, msl_null&gt;</a>, <a class="code" href="structgaalet_1_1gp_1_1mel__null.html">mel_null</a>&gt; <a class="code" href="structgaalet_1_1gp_1_1multiplication__element__list.html">melist</a>;</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;};</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;<span class="keyword">template</span>&lt;conf_t LC, conf_t RC, <span class="keyword">typename</span> list&gt;</div>
<div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1insert__element__to__melist_3_01LC_00_01RC_00_01list_00_010_01_4.html">  125</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1insert__element__to__melist.html">insert_element_to_melist</a>&lt;LC, RC, list, 0&gt;</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;{</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;   <span class="keyword">typedef</span> <a class="code" href="structgaalet_1_1gp_1_1multiplication__element__list.html">multiplication_element_list&lt;list::conf, multiplication_sum_list&lt;LC, RC, typename list::head&gt;</a>, <span class="keyword">typename</span> list::tail&gt; <a class="code" href="structgaalet_1_1gp_1_1multiplication__element__list.html">melist</a>;</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;};</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;<span class="keyword">template</span>&lt;conf_t LC, conf_t RC, <span class="keyword">typename</span> list&gt;</div>
<div class="line"><a name="l00131"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1insert__element__to__melist_3_01LC_00_01RC_00_01list_00_011_01_4.html">  131</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1insert__element__to__melist.html">insert_element_to_melist</a>&lt;LC, RC, list, 1&gt;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;{</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;   <span class="keyword">typedef</span> <a class="code" href="structgaalet_1_1gp_1_1multiplication__element__list.html">multiplication_element_list&lt;LC^RC, multiplication_sum_list&lt;LC, RC, msl_null&gt;</a>, list&gt; <a class="code" href="structgaalet_1_1gp_1_1multiplication__element__list.html">melist</a>;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;};</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;<span class="comment">//build_multiplication_element_list</span></div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> L, <span class="keyword">typename</span> R, <span class="keyword">typename</span> metric, <span class="keyword">typename</span> CL=L, <span class="keywordtype">int</span> op = metric::degenerate_bitmap&amp;(L::head&amp;R::head)&gt;</div>
<div class="line"><a name="l00138"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1build__multiplication__element__list.html">  138</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1build__multiplication__element__list.html">build_multiplication_element_list</a></div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;{</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> build_multiplication_element_list&lt;typename L::tail, R, metric, CL&gt;::melist melist;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;};</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> L, <span class="keyword">typename</span> R, <span class="keyword">typename</span> metric, <span class="keyword">typename</span> CL&gt;</div>
<div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1build__multiplication__element__list_3_01L_00_01R_00_01metric_00_01CL_00_010_01_4.html">  143</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1build__multiplication__element__list.html">build_multiplication_element_list</a>&lt;L, R, metric, CL, 0&gt;</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;{</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structgaalet_1_1gp_1_1insert__element__to__melist.html">insert_element_to_melist&lt;L::head, R::head, typename build_multiplication_element_list&lt;typename L::tail, R, metric, CL&gt;::melist</a>&gt;<a class="code" href="structgaalet_1_1gp_1_1multiplication__element__list.html">::melist</a> <a class="code" href="structgaalet_1_1gp_1_1multiplication__element__list.html">melist</a>;</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;};</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> R, <span class="keyword">typename</span> metric, <span class="keyword">typename</span> CL, <span class="keywordtype">int</span> op&gt;</div>
<div class="line"><a name="l00148"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1build__multiplication__element__list_3_01cl__null_00_01R_00_01metric_00_01CL_00_01op_01_4.html">  148</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1build__multiplication__element__list.html">build_multiplication_element_list</a>&lt;<a class="code" href="structgaalet_1_1cl__null.html">cl_null</a>, R, metric, CL, op&gt;</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;{</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> build_multiplication_element_list&lt;CL, typename R::tail, metric, CL&gt;::melist melist;</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;};</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> R, <span class="keyword">typename</span> metric, <span class="keyword">typename</span> CL&gt;</div>
<div class="line"><a name="l00153"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1build__multiplication__element__list_3_01cl__null_00_01R_00_01metric_00_01CL_00_010_01_4.html">  153</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1build__multiplication__element__list.html">build_multiplication_element_list</a>&lt;<a class="code" href="structgaalet_1_1cl__null.html">cl_null</a>, R, metric, CL, 0&gt;</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;{</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> build_multiplication_element_list&lt;CL, typename R::tail, metric, CL&gt;::melist melist;</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;};</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> L, <span class="keyword">typename</span> metric, <span class="keyword">typename</span> CL, <span class="keywordtype">int</span> op&gt;</div>
<div class="line"><a name="l00158"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1build__multiplication__element__list_3_01L_00_01cl__null_00_01metric_00_01CL_00_01op_01_4.html">  158</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1build__multiplication__element__list.html">build_multiplication_element_list</a>&lt;L, <a class="code" href="structgaalet_1_1cl__null.html">cl_null</a>, metric, CL, op&gt;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;{</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;   <span class="keyword">typedef</span> <a class="code" href="structgaalet_1_1gp_1_1mel__null.html">mel_null</a> <a class="code" href="structgaalet_1_1gp_1_1mel__null.html">melist</a>;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;};</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> L, <span class="keyword">typename</span> metric, <span class="keyword">typename</span> CL&gt;</div>
<div class="line"><a name="l00163"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1build__multiplication__element__list_3_01L_00_01cl__null_00_01metric_00_01CL_00_010_01_4.html">  163</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1build__multiplication__element__list.html">build_multiplication_element_list</a>&lt;L, <a class="code" href="structgaalet_1_1cl__null.html">cl_null</a>, metric, CL, 0&gt;</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;{</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;   <span class="keyword">typedef</span> <a class="code" href="structgaalet_1_1gp_1_1mel__null.html">mel_null</a> <a class="code" href="structgaalet_1_1gp_1_1mel__null.html">melist</a>;</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;};</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;<span class="comment">//search melist</span></div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;<span class="keyword">template</span>&lt;conf_t conf, <span class="keyword">typename</span> list, <span class="keywordtype">bool</span> fit = (conf==list::conf)&gt;</div>
<div class="line"><a name="l00170"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1search__conf__in__melist.html">  170</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1search__conf__in__melist.html">search_conf_in_melist</a></div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;{</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> search_conf_in_melist&lt;conf, typename list::tail&gt;::melist melist;</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;};</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;<span class="keyword">template</span>&lt;conf_t conf, <span class="keyword">typename</span> list&gt;</div>
<div class="line"><a name="l00176"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1search__conf__in__melist_3_01conf_00_01list_00_01true_01_4.html">  176</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1search__conf__in__melist.html">search_conf_in_melist</a>&lt;conf, list, true&gt;</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;{</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;   <span class="keyword">typedef</span> list melist;</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;};</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;<span class="keyword">template</span>&lt;conf_t conf, <span class="keywordtype">bool</span> fit&gt;</div>
<div class="line"><a name="l00182"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1search__conf__in__melist_3_01conf_00_01mel__null_00_01fit_01_4.html">  182</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1search__conf__in__melist.html">search_conf_in_melist</a>&lt;conf, <a class="code" href="structgaalet_1_1gp_1_1mel__null.html">mel_null</a>, fit&gt;</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;{</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;   <span class="keyword">typedef</span> <a class="code" href="structgaalet_1_1gp_1_1mel__null.html">mel_null</a> <a class="code" href="structgaalet_1_1gp_1_1mel__null.html">melist</a>;</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;};</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;<span class="keyword">template</span>&lt;conf_t conf&gt;</div>
<div class="line"><a name="l00187"></a><span class="lineno"><a class="line" href="structgaalet_1_1gp_1_1search__conf__in__melist_3_01conf_00_01mel__null_00_01true_01_4.html">  187</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1gp_1_1search__conf__in__melist.html">search_conf_in_melist</a>&lt;conf, <a class="code" href="structgaalet_1_1gp_1_1mel__null.html">mel_null</a>, true&gt;</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;{</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;   <span class="keyword">typedef</span> <a class="code" href="structgaalet_1_1gp_1_1mel__null.html">mel_null</a> <a class="code" href="structgaalet_1_1gp_1_1mel__null.html">melist</a>;</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;};</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;}  <span class="comment">//end namespace gp</span></div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class</span> L, <span class="keyword">class</span> R&gt;</div>
<div class="line"><a name="l00195"></a><span class="lineno"><a class="line" href="structgaalet_1_1geometric__product.html">  195</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1geometric__product.html">geometric_product</a> : <span class="keyword">public</span> <a class="code" href="structgaalet_1_1expression.html">expression</a>&lt;geometric_product&lt;L, R&gt;&gt;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;{</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> element_type_combination_traits&lt;typename L::element_t, typename R::element_t&gt;::element_t element_t;</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structgaalet_1_1metric__combination__traits.html">metric_combination_traits&lt;typename L::metric, typename R::metric&gt;::metric</a> metric;</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> gp::build_multiplication_element_list&lt;typename L::clist, typename R::clist, metric&gt;::melist melist;</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> melist::clist clist;</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;   <a class="code" href="structgaalet_1_1geometric__product.html">geometric_product</a>(<span class="keyword">const</span> L&amp; l_ , <span class="keyword">const</span> R&amp; r_)</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;      :  l(l_), r(r_)</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;   { }</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;   <span class="keyword">template</span>&lt;conf_t conf&gt;</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;   element_t element()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structgaalet_1_1gp_1_1search__conf__in__melist.html">gp::search_conf_in_melist&lt;conf, melist&gt;::melist::template</a> product_sum&lt;element_t&gt;(l, r);</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;   }</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;   <span class="keyword">const</span> L&amp; l;</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;   <span class="keyword">const</span> R&amp; r;</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;};</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class</span> A&gt;</div>
<div class="line"><a name="l00219"></a><span class="lineno"><a class="line" href="structgaalet_1_1scalar__multivector__product.html">  219</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1scalar__multivector__product.html">scalar_multivector_product</a> : <span class="keyword">public</span> <a class="code" href="structgaalet_1_1expression.html">expression</a>&lt;scalar_multivector_product&lt;A&gt;&gt;</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;{</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> A::clist clist;</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> A::metric metric;</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> A::element_t element_t;</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;   <a class="code" href="structgaalet_1_1scalar__multivector__product.html">scalar_multivector_product</a>(<span class="keyword">const</span> element_t&amp; s_, <span class="keyword">const</span> A&amp; a_)</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;      :  s(s_), a(a_)</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;   { }</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;   <span class="keyword">template</span>&lt;conf_t conf&gt;</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;   element_t element()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;      <span class="keywordflow">return</span> s*a.element&lt;conf&gt;();</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;   }</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;   <span class="keyword">const</span> element_t&amp; s;</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;   <span class="keyword">const</span> A&amp; a;</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;};</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;} <span class="comment">//end namespace gaalet</span></div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> L, <span class="keyword">class</span> R&gt; <span class="keyword">inline</span></div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;<a class="code" href="structgaalet_1_1geometric__product.html">gaalet::geometric_product&lt;L, R&gt;</a></div>
<div class="line"><a name="l00247"></a><span class="lineno"><a class="line" href="group__ga__ops.html#ga34f97a2b907793b61da13001225f3845">  247</a></span>&#160;<a class="code" href="group__ga__ops.html#ga34f97a2b907793b61da13001225f3845">operator*</a>(<span class="keyword">const</span> <a class="code" href="structgaalet_1_1expression.html">gaalet::expression&lt;L&gt;</a>&amp; l, <span class="keyword">const</span> <a class="code" href="structgaalet_1_1expression.html">gaalet::expression&lt;R&gt;</a>&amp; r) {</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;   <span class="keywordflow">return</span> <a class="code" href="structgaalet_1_1geometric__product.html">gaalet::geometric_product&lt;L, R&gt;</a>(l, r);</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;}</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> A&gt; <span class="keyword">inline</span></div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;<a class="code" href="structgaalet_1_1scalar__multivector__product.html">gaalet::scalar_multivector_product&lt;A&gt;</a></div>
<div class="line"><a name="l00255"></a><span class="lineno"><a class="line" href="group__ga__ops.html#ga7b7298b386b1c915ce6d86194296ad26">  255</a></span>&#160;<a class="code" href="group__ga__ops.html#ga34f97a2b907793b61da13001225f3845">operator*</a>(<span class="keyword">const</span> <span class="keyword">typename</span> A::element_t&amp; s, <span class="keyword">const</span> <a class="code" href="structgaalet_1_1expression.html">gaalet::expression&lt;A&gt;</a>&amp; a) {</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;   <span class="keywordflow">return</span> <a class="code" href="structgaalet_1_1scalar__multivector__product.html">gaalet::scalar_multivector_product&lt;A&gt;</a>(s, a);</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;}</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> A&gt; <span class="keyword">inline</span></div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;<a class="code" href="structgaalet_1_1scalar__multivector__product.html">gaalet::scalar_multivector_product&lt;A&gt;</a></div>
<div class="line"><a name="l00263"></a><span class="lineno"><a class="line" href="group__ga__ops.html#gafeb3db7c38aa953dbe3661cb600eb6f5">  263</a></span>&#160;<a class="code" href="group__ga__ops.html#ga34f97a2b907793b61da13001225f3845">operator*</a>(<span class="keyword">const</span> <a class="code" href="structgaalet_1_1expression.html">gaalet::expression&lt;A&gt;</a>&amp; a, <span class="keyword">const</span> <span class="keyword">typename</span> A::element_t&amp; s) {</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;   <span class="keywordflow">return</span> <a class="code" href="structgaalet_1_1scalar__multivector__product.html">gaalet::scalar_multivector_product&lt;A&gt;</a>(s, a);</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;}</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="structgaalet_1_1BitCount_html"><div class="ttname"><a href="structgaalet_1_1BitCount.html">gaalet::BitCount</a></div><div class="ttdoc">Routine (developed by MIT-members?) for fast counting of number of bits in a multivector element bitm...</div><div class="ttdef"><b>Definition:</b> utility.h:8</div></div>
<div class="ttc" id="namespacegaalet_html"><div class="ttname"><a href="namespacegaalet.html">gaalet</a></div><div class="ttdef"><b>Definition:</b> addition.h:4</div></div>
<div class="ttc" id="structgaalet_1_1scalar__multivector__product_html"><div class="ttname"><a href="structgaalet_1_1scalar__multivector__product.html">gaalet::scalar_multivector_product</a></div><div class="ttdef"><b>Definition:</b> geometric_product.h:219</div></div>
<div class="ttc" id="structgaalet_1_1expression_html"><div class="ttname"><a href="structgaalet_1_1expression.html">gaalet::expression</a></div><div class="ttdef"><b>Definition:</b> expression.h:16</div></div>
<div class="ttc" id="structgaalet_1_1configuration__list_html"><div class="ttname"><a href="structgaalet_1_1configuration__list.html">gaalet::configuration_list</a></div><div class="ttdef"><b>Definition:</b> configuration_list.h:10</div></div>
<div class="ttc" id="structgaalet_1_1gp_1_1build__multiplication__element__list_html"><div class="ttname"><a href="structgaalet_1_1gp_1_1build__multiplication__element__list.html">gaalet::gp::build_multiplication_element_list</a></div><div class="ttdef"><b>Definition:</b> geometric_product.h:138</div></div>
<div class="ttc" id="structgaalet_1_1metric__combination__traits_html"><div class="ttname"><a href="structgaalet_1_1metric__combination__traits.html">gaalet::metric_combination_traits</a></div><div class="ttdef"><b>Definition:</b> algebra.h:25</div></div>
<div class="ttc" id="structgaalet_1_1CanonicalReorderingSign_html"><div class="ttname"><a href="structgaalet_1_1CanonicalReorderingSign.html">gaalet::CanonicalReorderingSign</a></div><div class="ttdef"><b>Definition:</b> utility.h:28</div></div>
<div class="ttc" id="structgaalet_1_1gp_1_1insert__element__to__melist_html"><div class="ttname"><a href="structgaalet_1_1gp_1_1insert__element__to__melist.html">gaalet::gp::insert_element_to_melist</a></div><div class="ttdoc">insert_element to multiplication_element_list </div><div class="ttdef"><b>Definition:</b> geometric_product.h:108</div></div>
<div class="ttc" id="structgaalet_1_1gp_1_1multiplication__sum__list_html"><div class="ttname"><a href="structgaalet_1_1gp_1_1multiplication__sum__list.html">gaalet::gp::multiplication_sum_list</a></div><div class="ttdef"><b>Definition:</b> geometric_product.h:25</div></div>
<div class="ttc" id="structgaalet_1_1gp_1_1mel__null_html"><div class="ttname"><a href="structgaalet_1_1gp_1_1mel__null.html">gaalet::gp::mel_null</a></div><div class="ttdef"><b>Definition:</b> geometric_product.h:87</div></div>
<div class="ttc" id="structgaalet_1_1cl__null_html"><div class="ttname"><a href="structgaalet_1_1cl__null.html">gaalet::cl_null</a></div><div class="ttdef"><b>Definition:</b> configuration_list.h:19</div></div>
<div class="ttc" id="structgaalet_1_1gp_1_1msl__null_html"><div class="ttname"><a href="structgaalet_1_1gp_1_1msl__null.html">gaalet::gp::msl_null</a></div><div class="ttdef"><b>Definition:</b> geometric_product.h:13</div></div>
<div class="ttc" id="structgaalet_1_1gp_1_1search__conf__in__melist_html"><div class="ttname"><a href="structgaalet_1_1gp_1_1search__conf__in__melist.html">gaalet::gp::search_conf_in_melist</a></div><div class="ttdef"><b>Definition:</b> geometric_product.h:170</div></div>
<div class="ttc" id="structgaalet_1_1gp_1_1multiplication__element__list_html"><div class="ttname"><a href="structgaalet_1_1gp_1_1multiplication__element__list.html">gaalet::gp::multiplication_element_list</a></div><div class="ttdef"><b>Definition:</b> geometric_product.h:70</div></div>
<div class="ttc" id="group__ga__ops_html_ga34f97a2b907793b61da13001225f3845"><div class="ttname"><a href="group__ga__ops.html#ga34f97a2b907793b61da13001225f3845">operator*</a></div><div class="ttdeci">gaalet::geometric_product&lt; L, R &gt; operator*(const gaalet::expression&lt; L &gt; &amp;l, const gaalet::expression&lt; R &gt; &amp;r)</div><div class="ttdoc">Geometric product of two multivectors. </div><div class="ttdef"><b>Definition:</b> geometric_product.h:247</div></div>
<div class="ttc" id="structgaalet_1_1geometric__product_html"><div class="ttname"><a href="structgaalet_1_1geometric__product.html">gaalet::geometric_product</a></div><div class="ttdef"><b>Definition:</b> geometric_product.h:195</div></div>
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